I can't answer the rest of what you said because you have based it on a misinterpretation of what I said (and what I'm saying).
1. The exile and scattering of the house of Israel - the 10 tribes - took place from circa 725 BC, and has continued since then, and since then, the descendants of the 10 tribes of the house of Israel who became scattered among the nations, have intermarried with Gentiles and have become amalgamated with the Gentile nations - to the point where it's impossible to find the genetic descendants of the house of Israel (the 10 tribes) and positively identify them anywhere among the nations anymore. They are a completely mixed multitude now.
The 10 tribes are (frequently) collectively called Ephraim in Old Testament prophetic scripture talking to and about them (for example Isaiah 7:8).
2. On his death-bed, Jacob told Joseph that the descendants of Ephraim - collectively referring to the 10 northern tribes - would become the fullness of the Gentiles (as it's written in the Hebrew of Genesis 48:19). The only other place in the Bible where the term fullness of the Gentiles is found, is in Romans 11:25.
3. The prophecy Paul quoted in Romans 9:24-26 is from Hosea 1:9-10, and in its Old Testament biblical context, it's referring only to the house of Israel - the 10 tribes. In its context the prophecy is not referring to the Jews (the house of Judah), and it's not referring to the Gentiles. But Paul quotes it, and includes Gentiles who believe in Jesus in it.
4. Paul again includes Gentiles who believe in Jesus in Israel in Romans 11:17.
The Gentiles who believe in Jesus are included into the 12 tribes of Israel, regardless of our genetic ancestry.
Once you understand what I'm saying (or at least attempt to), then I can attempt to understand the many nuances in your interpretations of prophetic scripture.